Your friend has a 4kg dog and “For the ’gram” they want to attach balloons to it until the dog/balloon system has a neutral buoyancy. Air has a density of 1.205 kg m3 and you may treat the balloons and string as massless a) Draw a Free-Body Diagram of the dog+balloons system where the dog is not touching the ground but not accelerating up or down b) Find the buoyant force the displaced air pushes the system up as a function of Vballoons c) Find the weight of the Helium (density 0.1664 kg m3 ) pulling the system down as a function of Vballoons d) Write Newton’s 2nd Law for the dog and solve the Volume of the Balloons needed to accomplish this task. e) If a balloon is a perfect sphere of radius 15cm, how many Heliumballoons are needed? f) Find what the Volume Needed would be if we replaced Helium with Nitrogen (den
Your friend has a 4kg dog and “For the ’gram” they want to attach balloons to it until the
dog/balloon system has a neutral buoyancy. Air has a density of 1.205 kg
m3 and you may
treat the balloons and string as massless
a) Draw a Free-Body Diagram of the dog+balloons system where the dog is not
touching the ground but not accelerating up or down
b) Find the buoyant force the displaced air pushes the system up as a function
of Vballoons
c) Find the weight of the Helium (density 0.1664 kg
m3 ) pulling the system down
as a function of Vballoons
d) Write Newton’s 2nd Law for the dog and solve the Volume of the Balloons
needed to accomplish this task.
e) If a balloon is a perfect sphere of radius 15cm, how many Heliumballoons are
needed?
f) Find what the Volume Needed would be if we replaced Helium with Nitrogen
(density 1.165 kg
m3 )
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